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Finding the Fourth Proportional to 59,950, 82,731 and 33,454

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Solution

The fourth proportional to 59,950, 82,731 and 33,454 is: 46,166.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,950 : 82,731 = 33,454 : x
  2. Step 2: Convert to fraction form
    59,950/82,731 = 33,454/x
  3. Step 3: Cross multiply
    59,950x = 82,731 × 33,454
  4. Step 4: Simplify right side
    59,950x = 2,767,682,874
  5. Step 5: Solve for x
    x = 2,767,682,874/59,950
  6. Step 6: Final answer
    x = 46,166.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.